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2044000044200 = 2352101307329603
BaseRepresentation
bin11101101111100111111…
…001011000010010101000
321020101220212200200112202
4131233213321120102220
5231442103002403300
64203000050355332
7300450140465222
oct35574771302250
97211825620482
102044000044200
11718945813284
1229018358bb48
1311a99625249a
1470d043c3412
1538280c47ad5
hex1dbe7e584a8

2044000044200 has 96 divisors (see below), whose sum is σ = 4815000257760. Its totient is φ = 806865696000.

The previous prime is 2044000044193. The next prime is 2044000044239. The reversal of 2044000044200 is 24400004402.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6036599 + ... + 6366201.

It is an arithmetic number, because the mean of its divisors is an integer number (50156252685).

Almost surely, 22044000044200 is an apocalyptic number.

2044000044200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2044000044200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407500128880).

2044000044200 is an abundant number, since it is smaller than the sum of its proper divisors (2771000213560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2044000044200 is a wasteful number, since it uses less digits than its factorization.

2044000044200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330027 (or 330018 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 2044000044200 its reverse (24400004402), we get a palindrome (2068400048602).

The spelling of 2044000044200 in words is "two trillion, forty-four billion, forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 307 404 505 614 808 1010 1228 1535 2020 2456 2525 3070 4040 5050 6140 7675 10100 12280 15350 20200 30700 31007 61400 62014 124028 155035 248056 310070 329603 620140 659206 775175 1240280 1318412 1550350 1648015 2636824 3100700 3296030 6201400 6592060 8240075 13184120 16480150 32960300 33289903 65920600 66579806 101188121 133159612 166449515 202376242 266319224 332899030 404752484 505940605 665798060 809504968 832247575 1011881210 1331596120 1664495150 2023762420 2529703025 3328990300 4047524840 5059406050 6657980600 10118812100 10220000221 20237624200 20440000442 40880000884 51100001105 81760001768 102200002210 204400004420 255500005525 408800008840 511000011050 1022000022100 2044000044200